Cullum and model-turned-writer and TV cook Dahl married in 2010 and their first child Lyra was born two years ago.

In his tweet he wrote: "On March 4th @sophiedahl gave birth to our second baby girl, Margot Cullum.

"She is healthy and gorgeous and we are completely thrilled."

Cullum recently signed a new record deal with Island Records and last month released his first new recording for three years as a free download, a cover of Cole Porter's Love For Sale which he recorded with rapper Roots Manuva.